Properties of Real Numbers

Notes

Real Numbers Sets

Real Number Properties

 

Practice Problems

Name the sets of numbers each belongs to.

\(\textbf{1)}\) \(\sqrt{5}\) Link to Youtube Video Solving Question Number 1

 

\(\textbf{2)}\) \(\frac{9}{16}\) Link to Youtube Video Solving Question Number 2

 

\(\textbf{3)}\) \(-4\) Link to Youtube Video Solving Question Number 3

 

Simplify.

\(\textbf{4)}\) \(3x+5y-2x+6y\) Link to Youtube Video Solving Question Number 4

 

\(\textbf{5)}\) \(4(x-3)-2(x+5)\)Link to Youtube Video Solving Question Number 5

 

State which property is being demonstrated.

\(\textbf{6)}\) \(3x+5=5+3x\)
\(\textbf{7)}\) \(3x+(5+2x)=(3x+5)+2x\)
\(\textbf{8)}\) \((3 \cdot 4) \cdot x=3 \cdot (4 \cdot x)\)
\(\textbf{9)}\) \(2y \cdot 5=5 \cdot 2y\)
\(\textbf{10)}\) \(3(x+5)=3x+15\)
\(\textbf{11)}\) \(5+0=5\)
\(\textbf{12)}\) \(6 \cdot \frac{1}{6}=1\)
\(\textbf{13)}\) \(8 \cdot 1=8\)
\(\textbf{14)}\) \(7+(-7)=0\)
\(\textbf{15)}\) \(3x+4=4+3x\)
\(\textbf{16)}\) \((2+5)+x=2+(5+x)\)
\(\textbf{17)}\) \(7 \cdot (3 \cdot x)=(7 \cdot 3) \cdot x\)
\(\textbf{18)}\) \(x \cdot 2=2 \cdot x\)
\(\textbf{19)}\) \(4(a+b)=4a+4b\)
\(\textbf{20)}\) \(9+0=9\)
\(\textbf{21)}\) \(5 \cdot \frac{1}{5}=1\)
\(\textbf{22)}\) \(6 \cdot 1=6\)
\(\textbf{23)}\) \(10+(-10)=0\)
\(\textbf{24)}\) \(2x+3=3+2x\)

 

See Related Pages\(\)

\(\bullet\text{ Properties of Real Numbers}\)
\(\,\,\,\,\,\,\,\,\)Real Number Properties
\(\bullet\text{ Rounding Numbers}\)
\(\,\,\,\,\,\,\,\,\)Place Values
\(\bullet\text{ Comparing and Ordering Numbers}\)
\(\,\,\,\,\,\,\,\,-5\bigcirc1…\)
\(\bullet\text{ Order of Operations (PEMDAS)}\)
\(\,\,\,\,\,\,\,\,12-3\times4+1…\)

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